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魏丽aa · 2019年11月23日

问一道题:NO.PZ2019103001000056

问题如下:

Edgarton evaluates the Fund’s positions from Exhibit 1 along with two of his pro forma portfolios, which are summarized in Exhibit 2:

Edgarton expects a steepening yield curve, with short-term yields rising by 1.00% and long-term yields rising by more than 1.00%.

Based on Exhibits 1 and 2, which of the following portfolios is most likely to have the best performance given Edgarton’s yield curve expectations?

选项:

A.

Current Portfolio

B.

Pro Forma Portfolio 1

C.

Pro Forma Portfolio 2

解释:

C is correct.

Given Edgarton’s expectation for a steepening yield curve, the best strategy is to shorten the portfolio duration by more heavily weighting shorter maturities. Pro Forma Portfolio 2 shows greater partial duration in the 1- and 3-year maturities relative to the current portfolio and the least combined exposure in the 10- and 30-year maturities of the three portfolios. The predicted change is calculated as follows:

Predicted change = Portfolio par amount × partial PVBP × (-curve shift in bps)/100

老师 par value 都是一样的吗? 感觉答案没写全诶,能不能写一下具体咋算的呀,谢谢

1 个答案

发亮_品职助教 · 2019年11月24日

嗨,从没放弃的小努力你好:


“par value 都是一样的吗? ”


对的,这道题每个期限的Par value是一样的;这道题的Par value需要再表1找,也就是他的Market value;

注意看表一的Coupon和YTM是一个数,也就知道债券的价值等于其面值。所以这个Market value等于Par value;



算一下Portfolio 2收到利率变动的影响:

1-year利率变动,Portfolio 2的价值变动为:Portfolio par amount × partial PVBP × (-curve shift in bps)/100

=10,000,000×0.0021×(-100bps)/100=-21,000

3-year利率变动的影响为:10,000,000×0.0061×(-100bps)/100=-61,000

5-year利率变动的影响为:10,000,000×0.0095×(-125bps)/100=-118,750

10-year利率变动的影响为:10,000,000×0.0159×(-160bps)/100=-254,400

30-year利率变动的影响为:10,000,000×0.0394×(-175bps)/100=-689,500

所以收益率曲线变动,Portfolio 2的总变化为:-(21,000+61,000+118,750+254,400+689,500)=-1,144,650

Portfolio 1和Current portfolio算法同上。


 


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